An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
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Pagina vi
... Elements ; where he will find , in profusion , stores of valuable results , and of elegant yet powerful analytical investiga- tions , such as are contained in the writings of but a very few of the greatest mathematicians . For a ...
... Elements ; where he will find , in profusion , stores of valuable results , and of elegant yet powerful analytical investiga- tions , such as are contained in the writings of but a very few of the greatest mathematicians . For a ...
Pagina xx
... element of current a , is proportional to Vaß where В = -fVada - fata , Ta3 the integration extending round the circuit . Mutual action of two closed circuits , and of solenoids . Mutual action of magnets . Potential of a closed circuit ...
... element of current a , is proportional to Vaß where В = -fVada - fata , Ta3 the integration extending round the circuit . Mutual action of two closed circuits , and of solenoids . Mutual action of magnets . Potential of a closed circuit ...
Pagina 4
... elements of the Cartesian method , we keep to the first - mentioned course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to ...
... elements of the Cartesian method , we keep to the first - mentioned course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to ...
Pagina 13
... element of a mass , drawn from the centre of inertia , be increased in length in proportion to the mass of the element , the sum of all these vectors is zero . ( f ) We see at once that the equation p = at + Bt2 2 where t is an ...
... element of a mass , drawn from the centre of inertia , be increased in length in proportion to the mass of the element , the sum of all these vectors is zero . ( f ) We see at once that the equation p = at + Bt2 2 where t is an ...
Pagina 22
... Elements of Quaternions an admirable application of the composition of vectors to these subjects . The Theory of Geometrical Nets , in a plane , and in space , is there very fully developed ; and the method is shewn to include , as ...
... Elements of Quaternions an admirable application of the composition of vectors to these subjects . The Theory of Geometrical Nets , in a plane , and in space , is there very fully developed ; and the method is shewn to include , as ...
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
a₁ axes axis Cartesian centre of inertia Chapter circle condition cone conjugate cöordinates coplanar curvature curve developable surface differential direction drawn easily Eliminating ellipsoid envelop equal evidently expression extremity Find the equation Find the locus formula given equation given lines given point gives Hamilton Hence hodograph integral intersection LAOB last section length linear and vector magnetism normal obviously once operator origin osculating plane P₁ parabola parallel pass perpendicular properties prove quaternion radius represents result right angles rotation S.aßy Saß scalar scalar equations second order shew solution sphere spherical conic straight line suppose surface surface of revolution tangent plane tensor tetrahedron theorem three vectors triangle unit-vectors Vaß vector function vector perpendicular versor write written Τρ φρ
Populaire passages
Pagina 299 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
Pagina 298 - VILLEMAIN, with a Biographical Sketch of the Author, a Selection of Poems on Greece, and Notes Historical and Philological. By the same Editor, is.
Pagina 299 - Students of the Bible should be particularly grateful to (the Cambridge University Press) for having produced, with the able assistance of Dr Scrivener, a complete critical edition of the Authorized Version of the English Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.
Pagina 138 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Pagina 11 - The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the -l. bisectors EE' and DD
Pagina 299 - Mr. Scrivener has carefully collated the text of our modern Bibles with that of the first edition of 1611, restoring the original reading in most places, and marking every place where an obvious correction has been made ; he has made the spelling as uniform as possible ; revised the punctuation (punctuation, as those who cry out for the Bible without note or comment should remember, is a continuous commentary on the text); carried out consistently the plan of marking' with italics all words not found...